( ) u v. 2 + w1. = 1, v 2 [ ][(1) 2 + ( 1) 2 + (0) 2 ] = cos = 45
|
|
- Britney Sullivan
- 7 years ago
- Views:
Transcription
1 Slip in Single Crystals 7.11 Sometimes cos φ cos λ in Equation 7. is termed the Schmid factor. Determine the magnitude of the Schmid factor for an FCC single crystal oriented with its [100] direction parallel to the loading axis. We are asked to compute the Schmid factor for an FCC crystal oriented with its [100] direction parallel to the loading axis. With this scheme, slip may occur on the (111) plane and in the [110] direction as noted in the figure below. The angle between the [100] and [11 0] directions, λ, may be determined using Equation 7.6 λ = cos 1 u 1 u + v 1 v + w 1 w u 1 + v1 + w1 ( ) u + v + w ( ) where (for [100]) u 1 = 1, v 1 = 0, w 1 = 0, and (for [11 0]) u = 1, v = -1, w = 0. Therefore, λ is equal to λ = cos 1 (1)(1) + (0)( 1) + (0)(0) (1) + (0) + (0) [ ][(1) + ( 1) + (0) ] = cos 1 1 = 45
2 Now, the angle φ is equal to the angle between the normal to the (111) plane (which is the [111] direction), and the [100] direction. Again from Equation 7.6, and for u 1 = 1, v 1 = 1, w 1 = 1, and u = 1, v = 0, and w = 0, we have φ = cos 1 (1)(1) + (1)(0) + (1)(0) (1) + (1) + (1) [ ][(1) + (0) + (0) ] = cos = 54.7 Therefore, the Schmid factor is equal to cos λ cos φ = cos (45 ) cos (54.7 ) = 1 1 =
3 7.1 Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1 and 47.9, respectively, with the tensile axis. If the critical resolved shear stress is 0.7 MPa (3000 psi), will an applied stress of 45 MPa (6500 psi) cause the single crystal to yield? If not, what stress will be necessary? This problem calls for us to determine whether or not a metal single crystal having a specific orientation and of given critical resolved shear stress will yield. We are given that φ = 43.1, λ = 47.9, and that the values of the critical resolved shear stress and applied tensile stress are 0.7 MPa (3000 psi) and 45 MPa (6500 psi), respectively. From Equation 7. τ R = σ cos φ cos λ = (45 MPa)(cos 43.1 )(cos 47.9 ) =.0 MPa (3181 psi) Since the resolved shear stress ( MPa) is greater than the critical resolved shear stress (0.7 MPa), the single crystal will yield.
4 7.13 A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 8.1 with the tensile axis. Three possible slip directions make angles of 6.4, 7.0, and 81.1 with the same tensile axis. (a) Which of these three slip directions is most favored? (b) If plastic deformation begins at a tensile stress of 1.95 MPa (80 psi), determine the critical resolved shear stress for aluminum. We are asked to compute the critical resolved shear stress for Al. As stipulated in the problem, φ = 8.1, while possible values for λ are 6.4, 7.0, and (a) Slip will occur along that direction for which (cos φ cos λ) is a maximum, or, in this case, for the largest cos λ. Cosines for the possible λ values are given below. cos(6.4 ) = 0.46 cos(7.0 ) = 0.31 cos(81.1 ) = 0.15 Thus, the slip direction is at an angle of 6.4 with the tensile axis. (b) From Equation 7.4, the critical resolved shear stress is just τ crss = σ y (cos φ cos λ) max = (1.95 MPa) [ cos (8.1 ) cos (6.4 )] = 0.80 MPa (114 psi)
5 7.30 A cylindrical specimen of cold-worked copper has a ductility (%EL) of 5%. If its cold-worked radius is 10 mm (0.40 in.), what was its radius before deformation? This problem calls for us to calculate the precold-worked radius of a cylindrical specimen of copper that has a cold-worked ductility of 5%EL. From Figure 7.19c, copper that has a ductility of 5%EL will have experienced a deformation of about 11%CW. For a cylindrical specimen, Equation 7.8 becomes %CW = π r 0 π r d π r Since r d = 10 mm (0.40 in.), solving for r 0 yields r 0 = r d 1 %CW 100 = 10 mm = 10.6 mm (0.44 in.) 100
6 7.D5 A cylindrical rod of 1040 steel originally 15. mm (0.60 in.) in diameter is to be cold worked by drawing; the circular cross section will be maintained during deformation. A cold-worked tensile strength in excess of 840 MPa (1,000 psi) and a ductility of at least 1%EL are desired. Furthermore, the final diameter must be 10 mm (0.40 in.). Explain how this may be accomplished. First let us calculate the percent cold work and attendant tensile strength and ductility if the drawing is carried out without interruption. From Equation 7.8 %CW = π d 0 π d d π d = 15. mm 10 mm π π 15. mm π 100 = 56%CW At 56%CW, the steel will have a tensile strength on the order of 90 MPa (133,000 psi) [Figure 7.19b], which is adequate; however, the ductility will be less than 10%EL [Figure 7.19c], which is insufficient. Instead of performing the drawing in a single operation, let us initially draw some fraction of the total deformation, then anneal to recrystallize, and, finally, cold-work the material a second time in order to achieve the final diameter, tensile strength, and ductility. Reference to Figure 7.19b indicates that 0%CW is necessary to yield a tensile strength of 840 MPa (1,000 psi). Similarly, a maximum of 1%CW is possible for 1%EL [Figure 7.19c]. The average of these extremes is 0.5%CW. Again using Equation 7.8, if the final diameter after the first drawing is d ' 0, then 0.5%CW = π d 0 ' 10 mm π π d 0 ' 100 And, solving the above expression for d 0 ', yields
7 d 0 ' = 10 mm 1 0.5%CW 100 = 11. mm (0.45 in.)
CHAPTER 7 DISLOCATIONS AND STRENGTHENING MECHANISMS PROBLEM SOLUTIONS
7-1 CHAPTER 7 DISLOCATIONS AND STRENGTHENING MECHANISMS PROBLEM SOLUTIONS Basic Concepts of Dislocations Characteristics of Dislocations 7.1 The dislocation density is just the total dislocation length
More informationConcepts of Stress and Strain
CHAPTER 6 MECHANICAL PROPERTIES OF METALS PROBLEM SOLUTIONS Concepts of Stress and Strain 6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa (15.5 10 6 psi) and an original
More informationMaterial Deformations. Academic Resource Center
Material Deformations Academic Resource Center Agenda Origin of deformations Deformations & dislocations Dislocation motion Slip systems Stresses involved with deformation Deformation by twinning Origin
More informationChapter Outline Dislocations and Strengthening Mechanisms
Chapter Outline Dislocations and Strengthening Mechanisms What is happening in material during plastic deformation? Dislocations and Plastic Deformation Motion of dislocations in response to stress Slip
More informationChapter Outline Dislocations and Strengthening Mechanisms
Chapter Outline Dislocations and Strengthening Mechanisms What is happening in material during plastic deformation? Dislocations and Plastic Deformation Motion of dislocations in response to stress Slip
More informationLECTURE SUMMARY September 30th 2009
LECTURE SUMMARY September 30 th 2009 Key Lecture Topics Crystal Structures in Relation to Slip Systems Resolved Shear Stress Using a Stereographic Projection to Determine the Active Slip System Slip Planes
More informationMechanical Properties of Metals Mechanical Properties refers to the behavior of material when external forces are applied
Mechanical Properties of Metals Mechanical Properties refers to the behavior of material when external forces are applied Stress and strain fracture or engineering point of view: allows to predict the
More informationChapter Outline. Mechanical Properties of Metals How do metals respond to external loads?
Mechanical Properties of Metals How do metals respond to external loads? Stress and Strain Tension Compression Shear Torsion Elastic deformation Plastic Deformation Yield Strength Tensile Strength Ductility
More informationSolution for Homework #1
Solution for Homework #1 Chapter 2: Multiple Choice Questions (2.5, 2.6, 2.8, 2.11) 2.5 Which of the following bond types are classified as primary bonds (more than one)? (a) covalent bonding, (b) hydrogen
More informationExperiment: Crystal Structure Analysis in Engineering Materials
Experiment: Crystal Structure Analysis in Engineering Materials Objective The purpose of this experiment is to introduce students to the use of X-ray diffraction techniques for investigating various types
More informationThe atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or APF = V S V C. = 2(sphere volume) = 2 = V C = 4R
3.5 Show that the atomic packing factor for BCC is 0.68. The atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or APF = V S V C Since there are two spheres associated
More informationStrengthening. Mechanisms of strengthening in single-phase metals: grain-size reduction solid-solution alloying strain hardening
Strengthening The ability of a metal to deform depends on the ability of dislocations to move Restricting dislocation motion makes the material stronger Mechanisms of strengthening in single-phase metals:
More informationLösungen Übung Verformung
Lösungen Übung Verformung 1. (a) What is the meaning of T G? (b) To which materials does it apply? (c) What effect does it have on the toughness and on the stress- strain diagram? 2. Name the four main
More informationStress Strain Relationships
Stress Strain Relationships Tensile Testing One basic ingredient in the study of the mechanics of deformable bodies is the resistive properties of materials. These properties relate the stresses to the
More informationMechanical Properties - Stresses & Strains
Mechanical Properties - Stresses & Strains Types of Deformation : Elasic Plastic Anelastic Elastic deformation is defined as instantaneous recoverable deformation Hooke's law : For tensile loading, σ =
More informationMohr s Circle. Academic Resource Center
Mohr s Circle Academic Resource Center Introduction The transformation equations for plane stress can be represented in graphical form by a plot known as Mohr s Circle. This graphical representation is
More informationObjectives. Experimentally determine the yield strength, tensile strength, and modules of elasticity and ductility of given materials.
Lab 3 Tension Test Objectives Concepts Background Experimental Procedure Report Requirements Discussion Objectives Experimentally determine the yield strength, tensile strength, and modules of elasticity
More informationCH 6: Fatigue Failure Resulting from Variable Loading
CH 6: Fatigue Failure Resulting from Variable Loading Some machine elements are subjected to static loads and for such elements static failure theories are used to predict failure (yielding or fracture).
More informationSolid Mechanics. Stress. What you ll learn: Motivation
Solid Mechanics Stress What you ll learn: What is stress? Why stress is important? What are normal and shear stresses? What is strain? Hooke s law (relationship between stress and strain) Stress strain
More informationσ y ( ε f, σ f ) ( ε f
Typical stress-strain curves for mild steel and aluminum alloy from tensile tests L L( 1 + ε) A = --- A u u 0 1 E l mild steel fracture u ( ε f, f ) ( ε f, f ) ε 0 ε 0.2 = 0.002 aluminum alloy fracture
More informationRelevant Reading for this Lecture... Pages 83-87.
LECTURE #06 Chapter 3: X-ray Diffraction and Crystal Structure Determination Learning Objectives To describe crystals in terms of the stacking of planes. How to use a dot product to solve for the angles
More information2.75 6.525 Problem Set 1 Solutions to ME problems Fall 2013
2.75 6.525 Problem Set 1 Solutions to ME problems Fall 2013 2. Pinned Joint problem Jacob Bayless a) Draw a free-body diagram for the pin. How is it loaded? Does the loading depend on whether the pin is
More informationAnalysis of Stresses and Strains
Chapter 7 Analysis of Stresses and Strains 7.1 Introduction axial load = P / A torsional load in circular shaft = T / I p bending moment and shear force in beam = M y / I = V Q / I b in this chapter, we
More informationTensile Testing Laboratory
Tensile Testing Laboratory By Stephan Favilla 0723668 ME 354 AC Date of Lab Report Submission: February 11 th 2010 Date of Lab Exercise: January 28 th 2010 1 Executive Summary Tensile tests are fundamental
More informationUniaxial Tension and Compression Testing of Materials. Nikita Khlystov Daniel Lizardo Keisuke Matsushita Jennie Zheng
Uniaxial Tension and Compression Testing of Materials Nikita Khlystov Daniel Lizardo Keisuke Matsushita Jennie Zheng 3.032 Lab Report September 25, 2013 I. Introduction Understanding material mechanics
More informationLap Fillet Weld Calculations and FEA Techniques
Lap Fillet Weld Calculations and FEA Techniques By: MS.ME Ahmad A. Abbas Sr. Analysis Engineer Ahmad.Abbas@AdvancedCAE.com www.advancedcae.com Sunday, July 11, 2010 Advanced CAE All contents Copyright
More informationdifferent levels, also called repeated, alternating, or fluctuating stresses.
Fatigue and Dynamic Loading 1 Fti Fatigue fil failure: 2 Static ti conditions : loads are applied gradually, to give sufficient i time for the strain to fully develop. Variable conditions : stresses vary
More informationSheet metal operations - Bending and related processes
Sheet metal operations - Bending and related processes R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur-613 401 Table of Contents 1.Quiz-Key... Error! Bookmark not defined. 1.Bending
More informationENGINEERING COUNCIL CERTIFICATE LEVEL
ENGINEERING COUNCIL CERTIICATE LEVEL ENGINEERING SCIENCE C103 TUTORIAL - BASIC STUDIES O STRESS AND STRAIN You should judge your progress by completing the self assessment exercises. These may be sent
More informationFigure 1.1 Vector A and Vector F
CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have
More informationActivity 2.3b Engineering Problem Solving Answer Key
Activity.3b Engineering roblem Solving Answer Key 1. A force of 00 lbs pushes against a rectangular plate that is 1 ft. by ft. Determine the lb lb pressure in and that the plate exerts on the ground due
More informationSTRAIN-LIFE (e -N) APPROACH
CYCLIC DEFORMATION & STRAIN-LIFE (e -N) APPROACH MONOTONIC TENSION TEST AND STRESS-STRAIN BEHAVIOR STRAIN-CONTROLLED TEST METHODS CYCLIC DEFORMATION AND STRESS-STRAIN BEHAVIOR STRAIN-BASED APPROACH TO
More informationLecture 18 Strain Hardening And Recrystallization
-138- Lecture 18 Strain Hardening And Recrystallization Strain Hardening We have previously seen that the flow stress (the stress necessary to produce a certain plastic strain rate) increases with increasing
More informationMECHANICAL PRINCIPLES HNC/D PRELIMINARY LEVEL TUTORIAL 1 BASIC STUDIES OF STRESS AND STRAIN
MECHANICAL PRINCIPLES HNC/D PRELIMINARY LEVEL TUTORIAL 1 BASIC STUDIES O STRESS AND STRAIN This tutorial is essential for anyone studying the group of tutorials on beams. Essential pre-requisite knowledge
More informationME 612 Metal Forming and Theory of Plasticity. 1. Introduction
Metal Forming and Theory of Plasticity Yrd.Doç. e mail: azsenalp@gyte.edu.tr Makine Mühendisliği Bölümü Gebze Yüksek Teknoloji Enstitüsü In general, it is possible to evaluate metal forming operations
More informationMETU DEPARTMENT OF METALLURGICAL AND MATERIALS ENGINEERING
METU DEPARTMENT OF METALLURGICAL AND MATERIALS ENGINEERING Met E 206 MATERIALS LABORATORY EXPERIMENT 1 Prof. Dr. Rıza GÜRBÜZ Res. Assist. Gül ÇEVİK (Room: B-306) INTRODUCTION TENSION TEST Mechanical testing
More informationB.TECH. (AEROSPACE ENGINEERING) PROGRAMME (BTAE) Term-End Examination December, 2011 BAS-010 : MACHINE DESIGN
No. of Printed Pages : 7 BAS-01.0 B.TECH. (AEROSPACE ENGINEERING) PROGRAMME (BTAE) CV CA CV C:) O Term-End Examination December, 2011 BAS-010 : MACHINE DESIGN Time : 3 hours Maximum Marks : 70 Note : (1)
More informationx100 A o Percent cold work = %CW = A o A d Yield Stress Work Hardening Why? Cell Structures Pattern Formation
Work Hardening Dislocations interact with each other and assume configurations that restrict the movement of other dislocations. As the dislocation density increases there is an increase in the flow stress
More informationTorsion Tests. Subjects of interest
Chapter 10 Torsion Tests Subjects of interest Introduction/Objectives Mechanical properties in torsion Torsional stresses for large plastic strains Type of torsion failures Torsion test vs.tension test
More informationTensile Testing of Steel
C 265 Lab No. 2: Tensile Testing of Steel See web for typical report format including: TITL PAG, ABSTRACT, TABL OF CONTNTS, LIST OF TABL, LIST OF FIGURS 1.0 - INTRODUCTION See General Lab Report Format
More informationEffects of Sulfur Level and Anisotropy of Sulfide Inclusions on Tensile, Impact, and Fatigue Properties of SAE 4140 Steel
Paper 28-1-434 Effects of Sulfur Level and Anisotropy of Sulfide Inclusions on Tensile, Impact, and Fatigue Properties of SAE 414 Steel Copyright 28 SAE International Nisha Cyril and Ali Fatemi The University
More informationSpecification for Rotary Drill Stem Elements
Addendum 1 March 2007 Effective Date: September 1, 2007 Specification for Rotary Drill Stem Elements ANSI/API SPECIFICATION 7-1 FIRST EDITION, MARCH 2006 EFFECTIVE DATE: SEPTEMBER 2006 ISO 10424-1:2004
More informationFATIGUE CONSIDERATION IN DESIGN
FATIGUE CONSIDERATION IN DESIGN OBJECTIVES AND SCOPE In this module we will be discussing on design aspects related to fatigue failure, an important mode of failure in engineering components. Fatigue failure
More informationSTRAIN ENERGY DENSITY (strain energy per unit volume)
STRAIN ENERGY DENSITY (strain energy per unit volume) For ductile metals and alloys, according to the Maximum Shear Stress failure theory (aka Tresca ) the only factor that affects dislocation slip is
More informationTubing Data. Contents. Tubing Selection. Tubing Handling. Tubing Material. Tubing Outside Diameter Hardness. Tubing Wall Thickness
www.swagelok.com Tubing Data Contents Tubing Selection... 1 Tubing Handling.... 1 Gas Service... 2 Tubing Installation.... 2 Suggested Allowable Working Pressure Tables Carbon Steel Tubing... 3 Stainless
More informationModule #17. Work/Strain Hardening. READING LIST DIETER: Ch. 4, pp. 138-143; Ch. 6 in Dieter
Module #17 Work/Strain Hardening READING LIST DIETER: Ch. 4, pp. 138-143; Ch. 6 in Dieter D. Kuhlmann-Wilsdorf, Trans. AIME, v. 224 (1962) pp. 1047-1061 Work Hardening RECALL: During plastic deformation,
More informationAISI CHEMICAL COMPOSITION LIMITS: Nonresulphurized Carbon Steels
AISI CHEMICAL COMPOSITION LIMITS: Nonresulphurized Carbon Steels AISI No. 1008 1010 1012 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 10 1026 1027 1029 10 1035 1036 1037 1038 1039 10 1041 1042 1043
More informationPenetration Testing for Material Hardness
Penetration Testing for Material Hardness Purpose The hardness of various materials, ranging from metals to plastics to rubber, can be an important design property. Consider, for instance, a camshaft in
More informationFigure 1: Typical S-N Curves
Stress-Life Diagram (S-N Diagram) The basis of the Stress-Life method is the Wohler S-N diagram, shown schematically for two materials in Figure 1. The S-N diagram plots nominal stress amplitude S versus
More informationTEXTURE AND PRESS FORMABILITY OF DUAL-PHASE STAINLESS STEEL SHEET
Copyright (c)jcpds-international Centre for Diffraction Data 2002, Advances in X-ray Analysis, Volume 45. 269 TEXTURE AND PRESS FORMABILITY OF DUAL-PHASE STAINLESS STEEL SHEET 1) Tokimasa Goto, 1) Takashi
More informationMaterials Issues in Fatigue and Fracture
Materials Issues in Fatigue and Fracture 5.1 Fundamental Concepts 5.2 Ensuring Infinite Life 5.3 Finite Life 5.4 Summary FCP 1 5.1 Fundamental Concepts Structural metals Process of fatigue A simple view
More information9. TIME DEPENDENT BEHAVIOUR: CYCLIC FATIGUE
9. TIME DEPENDENT BEHAVIOUR: CYCLIC FATIGUE A machine part or structure will, if improperly designed and subjected to a repeated reversal or removal of an applied load, fail at a stress much lower than
More informationUnit 6: EXTRUSION. Difficult to form metals like stainless steels, nickel based alloys and high temperature metals can also be extruded.
1 Unit 6: EXTRUSION Introduction: Extrusion is a metal working process in which cross section of metal is reduced by forcing the metal through a die orifice under high pressure. It is used to produce cylindrical
More informationDesign Project 2. Sizing of a Bicycle Chain Ring Bolt Set. Statics and Mechanics of Materials I. ENGR 0135 Section 1040.
Design Project 2 Sizing of a Bicycle Chain Ring Bolt Set Statics and Mechanics of Materials I ENGR 0135 Section 1040 November 9, 2014 Derek Nichols Michael Scandrol Mark Vavithes Nichols, Scandrol, Vavithes
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS
EDEXCEL NATIONAL CERTIICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQ LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS 1. Be able to determine the effects of loading in static engineering
More informationScrew Thread Design. Rev. 3-4-09
Screw Thread Design Screw Thread Fundamentals A screw thread is defined as a ridge of uniform section in the form of a helix on either the external or internal surface of a cylinder. Internal threads refer
More informationDIN 17172-78 STEEL PIPES FOR PIPE LINES FOR THE TRANSPORT OF COMBUSTIBLE FLUIDS AND GASES
DIN 17172-78 STEEL PIPES FOR PIPE LINES FOR THE TRANSPORT OF COMBUSTIBLE FLUIDS AND GASES For connection with the International Draft Standards 3183 and 3845 published by the International Organization
More informationSTRAIN IN THE UPSETTING PROCESS
METALLURGY AND FOUNDRY ENGINEERING Vol. 33, 2007, No. 1 Jerzy Kajtoch * STRAIN IN THE UPSETTING PROCESS 1. INTRODUCTION Upsetting is an technological operation of open die forging, which is performed in
More informationStresses in Beam (Basic Topics)
Chapter 5 Stresses in Beam (Basic Topics) 5.1 Introduction Beam : loads acting transversely to the longitudinal axis the loads create shear forces and bending moments, stresses and strains due to V and
More informationNOTCHES AND THEIR EFFECTS. Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1
NOTCHES AND THEIR EFFECTS Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1 CHAPTER OUTLINE Background Stress/Strain Concentrations S-N Approach for Notched Members
More informationFATIGUE TESTS AND STRESS-LIFE (S-N) APPROACH
FATIGUE TESTS AND STRESS-LIFE (S-N) APPROACH FATIGUE TESTING LOADING TEST MACHINES SPECIMENS STANDARDS STRESS-LIFE APPEROACH S-N CURVES MEAN STRESS EFFECTS ON S-N BEHAVIOR FACTORS INFLUENCING S-N BEHAVIOR
More informationFatigue of Metals Copper Alloys. Samuli Heikkinen 26.6.2003
Fatigue of Metals Copper Alloys Samuli Heikkinen 26.6.2003 T 70 C Temperature Profile of HDS Structure Stress amplitude 220 MPa Stress Profile of HDS Structure CLIC Number of Cycles f = 100 Hz 24 hours
More informationMet-2023: Concepts of Materials Science I Sample Questions & Answers,(2009) ( Met, PR, FC, MP, CNC, McE )
1 Met-223: Concepts of Materials Science I Sample Questions & Answers,(29) ( Met, PR, FC, MP, CNC, McE ) Q-1.Define the following. (i) Point Defects (ii) Burgers Vector (iii) Slip and Slip system (iv)
More informationHomework solutions for test 2
Homework solutions for test 2 HW for Lecture 7 22.2 What is meant by the term faying surface? Answer. The faying surfaces are the contacting surfaces in a welded joint. 22.3 Define the term fusion weld.
More informationUniversity of Portland School of Engineering LABORATORY OUTLINE: TENSILE TESTING OF STEEL & ALUMINUM ALLOYS (ASTM E8)
TENSILE TESTING OF STEEL & ALUMINUM ALLOYS (ASTM E8) To carry out a standard tensile test on specimens of a hot rolled steel (AISI 1045), Type 2024- T351 aluminum, polymers (UHMW-PE, acrylic) and, from
More informationTechnical Notes 3B - Brick Masonry Section Properties May 1993
Technical Notes 3B - Brick Masonry Section Properties May 1993 Abstract: This Technical Notes is a design aid for the Building Code Requirements for Masonry Structures (ACI 530/ASCE 5/TMS 402-92) and Specifications
More informationSPECIFICATIONS, LOADS, AND METHODS OF DESIGN
CHAPTER Structural Steel Design LRFD Method Third Edition SPECIFICATIONS, LOADS, AND METHODS OF DESIGN A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural
More informationM n = (DP)m = (25,000)(104.14 g/mol) = 2.60! 10 6 g/mol
14.4 (a) Compute the repeat unit molecular weight of polystyrene. (b) Compute the number-average molecular weight for a polystyrene for which the degree of polymerization is 25,000. (a) The repeat unit
More informationTypes of Strain. Engineering Strain: e = l l o. Shear Strain: γ = a b
Types of Strain l a g Engineering Strain: l o l o l b e = l l o l o (a) (b) (c) Shear Strain: FIGURE 2.1 Types of strain. (a) Tensile. (b) Compressive. (c) Shear. All deformation processes in manufacturing
More informationThe elements used in commercial codes can be classified in two basic categories:
CHAPTER 3 Truss Element 3.1 Introduction The single most important concept in understanding FEA, is the basic understanding of various finite elements that we employ in an analysis. Elements are used for
More informationBending Stress in Beams
936-73-600 Bending Stress in Beams Derive a relationship for bending stress in a beam: Basic Assumptions:. Deflections are very small with respect to the depth of the beam. Plane sections before bending
More informationCERAMICS: Properties 2
CERAMICS: Properties 2 (Brittle Fracture Analysis) S.C. BAYNE, 1 J.Y. Thompson 2 1 University of Michigan School of Dentistry, Ann Arbor, MI 48109-1078 sbayne@umich.edu 2 Nova Southeastern College of Dental
More informationThe stored energy of cold work: Predictions from discrete dislocation plasticity
Acta Materialia 53 (2005) 4765 4779 www.actamat-journals.com The stored energy of cold work: Predictions from discrete dislocation plasticity A.A. Benzerga a, *, Y. Bréchet b, A. Needleman c, E. Van der
More informationDSM http://www.dsmmfg.com 1 (800) 886-6376
DESIGN GUIDE FOR BENT SHEET METAL This guide discusses how the bends are made, what thicknesses of sheet metal are commonly used, recommended bend radius to use when modeling the part, some practical limits
More informationSTRESS AND DEFORMATION ANALYSIS OF LINEAR ELASTIC BARS IN TENSION
Chapter 11 STRESS AND DEFORMATION ANALYSIS OF LINEAR ELASTIC BARS IN TENSION Figure 11.1: In Chapter10, the equilibrium, kinematic and constitutive equations for a general three-dimensional solid deformable
More informationEQUILIBRIUM STRESS SYSTEMS
EQUILIBRIUM STRESS SYSTEMS Definition of stress The general definition of stress is: Stress = Force Area where the area is the cross-sectional area on which the force is acting. Consider the rectangular
More informationDescription of mechanical properties
ArcelorMittal Europe Flat Products Description of mechanical properties Introduction Mechanical properties are governed by the basic concepts of elasticity, plasticity and toughness. Elasticity is the
More informationFatigue. 3. Final fracture (rough zone) 1. Fatigue origin. 2. Beach marks (velvety zone)
Fatigue Term fatigue introduced by Poncelet (France) 1839 progressive fracture is more descriptive 1. Minute crack at critical area of high local stress (geometric stress raiser, flaws, preexisting cracks)
More informationLABORATORY EXPERIMENTS TESTING OF MATERIALS
LABORATORY EXPERIMENTS TESTING OF MATERIALS 1. TENSION TEST: INTRODUCTION & THEORY The tension test is the most commonly used method to evaluate the mechanical properties of metals. Its main objective
More informationSection 16: Neutral Axis and Parallel Axis Theorem 16-1
Section 16: Neutral Axis and Parallel Axis Theorem 16-1 Geometry of deformation We will consider the deformation of an ideal, isotropic prismatic beam the cross section is symmetric about y-axis All parts
More informationMeasurement of Residual Stress in Plastics
Measurement of Residual Stress in Plastics An evaluation has been made of the effectiveness of the chemical probe and hole drilling techniques to measure the residual stresses present in thermoplastic
More informationNumerical analysis of boundary conditions to tunnels
Global journal of multidisciplinary and applied sciences Available online at www.gjmas.com 2015 GJMAS Journal-2015-3-2/37-41 ISSN 2313-6685 2015 GJMAS Numerical analysis of boundary conditions to tunnels
More informationDrained and Undrained Conditions. Undrained and Drained Shear Strength
Drained and Undrained Conditions Undrained and Drained Shear Strength Lecture No. October, 00 Drained condition occurs when there is no change in pore water pressure due to external loading. In a drained
More informationChapter - 3 Design of Rectangular Beams and One-way Slabs
Rectangular Beams and One-way Slabs Page 1 of 9 Chapter - 3 Design of Rectangular Beams and One-way Slabs 12 h A 12 strip in a simply supported one-way slab h b=12 L Rectangular Beams and One-way Slabs
More informationIntroduction. ε 1 θ=55 ε 2. Localized necking Because ν=0.5 in plasticity, ε 1 =-2ε 2 =-2ε 3. ε 3,ε 2
SHEET METALWORKING 1. Cutting Operation 2. Bending Operation 3. Drawing 4. Other Sheet-metal Forming 5. Dies and Presses 6. Sheet-metal Operation 7. Bending of Tube Stock 1 Introduction Cutting and forming
More informationMaster of Simulation Techniques. Lecture No.5. Blanking. Blanking. Fine
Master of Simulation Techniques Lecture No.5 Fine Blanking Prof. Dr.-Ing. F. Klocke Structure of the lecture Blanking Sheared surface and force Wear Blanking processes and blanking tools Errors on sheared
More informationLecture 14. Chapter 8-1
Lecture 14 Fatigue & Creep in Engineering Materials (Chapter 8) Chapter 8-1 Fatigue Fatigue = failure under applied cyclic stress. specimen compression on top bearing bearing motor counter flex coupling
More informationMECHANICS OF SOLIDS - BEAMS TUTORIAL TUTORIAL 4 - COMPLEMENTARY SHEAR STRESS
MECHANICS OF SOLIDS - BEAMS TUTORIAL TUTORIAL 4 - COMPLEMENTARY SHEAR STRESS This the fourth and final tutorial on bending of beams. You should judge our progress b completing the self assessment exercises.
More informationCEEN 162 - Geotechnical Engineering Laboratory Session 7 - Direct Shear and Unconfined Compression Tests
PURPOSE: The parameters of the shear strength relationship provide a means of evaluating the load carrying capacity of soils, stability of slopes, and pile capacity. The direct shear test is one of the
More informationLecture 12: Fundamental Concepts in Structural Plasticity
Lecture 12: Fundamental Concepts in Structural Plasticity Plastic properties of the material were already introduced briefly earlier in the present notes. The critical slenderness ratio of column is controlled
More informationStandard Specification for Chromium and Chromium-Nickel Stainless Steel Plate, Sheet, and Strip for Pressure Vessels and for General Applications 1
Designation: A 2/A 2M 04a e1 Standard Specification for Chromium and Chromium-Nickel Stainless Steel Plate, Sheet, and Strip for Pressure Vessels and for General Applications 1 This standard is issued
More information3. Test Methods for Evaluation of ESCR of Plastics
3. Test Methods for Evaluation of ESCR of Plastics A common laboratory request for ESC-prone polymers is to check ESCR performance for quality control, competitive product evaluations, and research and
More informationMECHANICS OF MATERIALS
T dition CHTR MCHNICS OF MTRIS Ferdinand. Beer. Russell Johnston, Jr. John T. DeWolf ecture Notes: J. Walt Oler Texas Tech University Stress and Strain xial oading - Contents Stress & Strain: xial oading
More informationAutomatic and Objective Measurement of Residual Stress and Cord in Glass
Automatic and Objective Measurement of Residual Stress and Cord in Glass GlassTrend - ICG TC15/21 Seminar SENSORS AND PROCESS CONTROL 13-14 October 2015, Eindhoven Henning Katte, ilis gmbh copyright ilis
More informationThe mechanical properties of metal affected by heat treatment are:
Training Objective After watching this video and reviewing the printed material, the student/trainee will learn the basic concepts of the heat treating processes as they pertain to carbon and alloy steels.
More informationR&DE (Engineers), DRDO. Theories of Failure. rd_mech@yahoo.co.in. Ramadas Chennamsetti
heories of Failure ummary Maximum rincial stress theory Maximum rincial strain theory Maximum strain energy theory Distortion energy theory Maximum shear stress theory Octahedral stress theory Introduction
More informationHardened Concrete. Lecture No. 14
Hardened Concrete Lecture No. 14 Strength of Concrete Strength of concrete is commonly considered its most valuable property, although in many practical cases, other characteristics, such as durability
More informationP R O D U C T D A T A B U L L E T I N SELECTION OF ELECTRICAL STEELS FOR. Magnetic Cores
P R O D U C T D A T A B U L L E T I N SELECTION OF ELECTRICAL STEELS FOR Magnetic Cores 1 SELECTION OF ELECTRICAL STEELS FOR MAGNETIC CORES The information and data in this catalog are accurate to the
More informationORIENTATION CHARACTERISTICS OF THE MICROSTRUCTURE OF MATERIALS
ORIENTATION CHARACTERISTICS OF THE MICROSTRUCTURE OF MATERIALS K. Sztwiertnia Polish Academy of Sciences, Institute of Metallurgy and Materials Science, 25 Reymonta St., 30-059 Krakow, Poland MMN 2009
More information